Boolean Function Digital Logic and Computer Design by Ravinder Nath Rajotiya - September 6, 2023September 10, 20230 Boolean function A Boolean function is a Boolean algebraic equation derived generally from the word statement of the given problem or from the truth table. Such a function has two or more input variables. The function will produce a LOW or HIGH output when certain combinations of the input signal (binary value) is applied to the input variables. Two forms of Boolean functions Sum of Product Product of Sum Sum of Product: A sum of product (or SOP) equation is obtained by ORing the product or the minterms Minterm : A Minterm is also called as product term is one that produces a HIGH output when the values of the input variables are ANDed together. It is written for a ‘1’ or HIGH values in
1. Number System Digital Logic and Computer Design by Ravinder Nath Rajotiya - September 17, 2022September 17, 20220 What is a Number? A number is a mathematical value used for counting or measuring or labelling objects. In number system these numbers are used as digits. Number Systems A number system is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figure. The value of any digit in a number can be determined by: The digit Its position in the number The base of the number system Number System Chart There are various types of number systems in mathematics. The four most common number system types are: Decimal number system (Base- 10) Binary number system (Base- 2)
1 Number System STLD/Digital Electronics by Ravinder Nath Rajotiya - July 30, 2019April 20, 20210 Number System: In every day life we encounter with objects that are to be counted and written to be understood by all. The represented number also may require addition, subtraction etc. So, number system is a way of representing the count of some objects or countable things using some well define symbols and on which some kind of operation can be performed. Number may be called as real numbers. The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers. The real numbers are “all the numbers” on the number line. All numbers can be categorized as shown in figure-1. Classification of Number System These are the codes that are used in representing the information in